document.write( "Question 1204819: If 5 -letter
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document.write( "words'' are formed using the letters A, B, C, D, E, F, G, how many such words are possible for each of the following conditions:
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document.write( "(a) No condition is imposed.
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document.write( "(b) No letter can be repeated in a word.
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document.write( "(c) Each word must begin with the letter A and letters can be repeated.
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document.write( "(d) The second letter must be a vowel and no letters can be repeated.
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document.write( "Your answer is : \r
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Algebra.Com's Answer #841329 by ikleyn(52788)![]() ![]() You can put this solution on YOUR website! .\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " For part (d), the solution and the answer in the post by @MathLover1 are incorrect.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " The correct solution is as follows\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "2 options for the 2nd letter (A or E);\r\n" ); document.write( "\r\n" ); document.write( "7-1 = 6 options for 1st letter;\r\n" ); document.write( "\r\n" ); document.write( "5 options for 3rd positions;\r\n" ); document.write( "\r\n" ); document.write( "4 options for 4th position;\r\n" ); document.write( "\r\n" ); document.write( "3 options for last, 5th position.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "In all, 2*6*5*4*3 = 720 different options are possible. ANSWER for (d)\r\n" ); document.write( "\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |